A new superconvergent collocation method for eigenvalue problems

DOI10.1090/S0025-5718-06-01871-0zbMath1090.65151OpenAlexW2087949272MaRDI QIDQ3376998

Rekha P. Kulkarni

Publication date: 27 March 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01871-0

zbMATH Keywords

convergencecollocation methodnumerical exampleseigenvectorBanach spaceeigenvalue problemscompact linear operatorlinear integral operatorGauss points

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Numerical solutions to equations with linear operators (65J10) Eigenvalue problems for integral equations (45C05)

Related Items (4)

A spectral collocation method for eigenvalue problems of compact integral operators ⋮ Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem ⋮ Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind ⋮ Extrapolation Using a Modified Projection Method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Piecewise Continuous Collocation for Integral Equations
• Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the Thing
• Spectral Approximation for Compact Operators
• The Numerical Solution of Integral Equations of the Second Kind
• A New Superconvergent Projection Method for Approximate Solutions of Eigenvalue Problems
• Collocation at Gaussian Points

This page was built for publication: A new superconvergent collocation method for eigenvalue problems